Abstract
It is known that in low dimensions supports of Hölder doubling measures are C 1,β manifolds. In higher dimensions singularities may occur. We provide a full description of such supports by showing that they are C 1,β manifolds away from a closed set of measure zero and that at singular points they are uniformly far from being flat at every scale. © 2008 Springer-Verlag.
Original language | English |
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Pages (from-to) | 339-363 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 35 |
DOIs | |
Publication status | Published - 1 Jul 2009 |